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Finding the Fourth Proportional to 47,162.94, 65,077.44 and 27,015

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Solution

The fourth proportional to 47,162.94, 65,077.44 and 27,015 is: 37,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162.94 : 65,077.44 = 27,015 : x
  2. Step 2: Convert to fraction form
    47,162.94/65,077.44 = 27,015/x
  3. Step 3: Cross multiply
    47,162.94x = 65,077.44 × 27,015
  4. Step 4: Simplify right side
    47,162.94x = 1,758,067,041.60
  5. Step 5: Solve for x
    x = 1,758,067,041.60/47,162.94
  6. Step 6: Final answer
    x = 37,276.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.